It is shown that each lattice equation in the Toda hierarchy can be factored by an integrable symplectic map and a finite dimensional integrable Hamiltonian system via higher order constraint relating the potential ...It is shown that each lattice equation in the Toda hierarchy can be factored by an integrable symplectic map and a finite dimensional integrable Hamiltonian system via higher order constraint relating the potential and square eigenfunctions. The classical Poisson structure and r matrix for the constrained flows are presented.展开更多
文摘It is shown that each lattice equation in the Toda hierarchy can be factored by an integrable symplectic map and a finite dimensional integrable Hamiltonian system via higher order constraint relating the potential and square eigenfunctions. The classical Poisson structure and r matrix for the constrained flows are presented.
